Answer:
10 feet
Step-by-step explanation:
let the ladder be x feet in length
Using the Pythagoras theorem,
6^2+(x-2)^2=x^2
if you solve this you'll get, x = 10
Answered by GAUTHMATH
Answer:
23.52 miles
Step-by-step explanation:
Let us find the number of miles that they would have run.
Kana starts at 9:35 a.m. and runs at an average rate of 7 mph.
Let the time she has spent so far be t.
Speed is given as:
s = d / t
where d = distance and t = time
=> d = s * t
Therefore, for Kana:
d = 7 * t = 7t _____________(1)
Ji-Hun starts at 10:00 am (25 minutes after Hannah) and runs at an average rate of 8 mph.
25 minutes = 25/60 hour = 0.42 hour
So, his time (compared to Kana's) is t - 0.42.
therefore, for Ji-Hun:
d = 8 * (t - 0.42)
=> d = 8t - 3.36 ____________(2)
Equating (1) and (2):
7t = 8t - 3.36
=> 8t - 7t = 3.36
t = 3.36 hours
Therefore, let us find d:
d = 7 * 3.36 = 23.52 miles
So, Ji-Hun will catch up to Kana after 23.52 miles.
140 + 140 + 95 + 95 = 470 feet
Hope this helps!
Answer:
6 hours
Step-by-step explanation:
Let
x----> the number of hours worked at the donut shop
y----> the number of hours worked at the school bookstore
we know that
x+y=20
x=20-y -----> equation A
10.25x+8.75y=196 -----> equation B
Substitute equation A in equation B and solve for y
10.25(20-y)+8.75y=196
205-10.25y+8.75y=196
10.25y-8.75y=205-196
1.5y=9
y=6 hours at the school bookstore
9,240 yards = 5.25, or 5 1/4 miles.